Reference no: EM132107162

Project - Conduction Problem

Solve the heat conduction problem for the shown configuration (a unit-length square) via finite difference method using:

1) Forward Euler time scheme (Explicit)

2) Backward Euler time scheme (Implicit).

The initial temperature is uniform T = 0 and the right side of the square is kept insulated all the time.

Plot figures which show the variation of T along y at x = 0.5 and along x at y = 0.5, at time t = 0.05 and the steady state. Compare the curves for three different resolutions of 10 ×10, 20 × 20, and 40 × 40 in the same figure.

The governing equation is ∂T/ ∂t = ∂²T/ ∂²x + ∂²T/ ∂²y.